What is the benefit of running a non o-ring chain on the track?

And why can't you do any riding on the street with it?

Reduced friction for quicker acceleration and less wasted horsepower.

Yes, they can be used on the street. But, they do require more maintenance than an o-ring chain because dirt can get trapped under the rollers. As a result, they must be cleaned on occasion. They also require more lubricant, it has a tendency to fly out since there are no o-rings to hold it under the rollers. Most riders don't like the additional work and lube making a mess on the back wheel.

We run non-o-ring chains on all of our bikes with no problems, but we usually ride less than 2K miles per year and 80% of these miles are at the drag strip. We also lube them every other run to get the quickest E.T. and highest MPH possible.